Question

69,55,26,13 What is the next number

Answer 1

series is 69, 55 , 26, 13, .......
69 = 6 × 5 + 1 = 55
55 = 5 × 5 + 1 = 26
26 = 2 × 6 + 1 = 13
13 = 1 × 3 + 1 = 5


hence, 69 , 55 , 26 , 13, 5

Answer 2

The “next term” in the given series 69, 55, 26, 13 is 4.

Solution:  

To find the fifth term in the series, we have to find the relation between the numbers in the series, hence in 69, 55, 26, 13

$69=(6 \times 9)+1=54+1=55$ (second term)

$55=(5 \times 5)=25+1=26$ (third term)

$26=(2 \times 6)=12+1=13$ (fourth term)

Similarly, $\bold{13=(1 \times 3)+1=3+1=4}$ (fifth term)

Hence the series is 69, 55, 26, 13, 4.